Details

analyze72.0ms (3.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample994.0ms (48.6%)

Results

984.0ms

8256×

body

256

valid

Bogosity

preprocess19.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

224×	`fma-def`
72×	`associate--r+`
72×	`associate-+l-`
60×	`+-commutative`
54×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 x (/.f64 y 200))
(-.f64 y (/.f64 x 200))

Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(-.f64 y (/.f64 x 200))
(+.f64 y (*.f64 -1/200 x))
(fma.f64 -1/200 x y)
(fma.f64 x -1/200 y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify21.0ms (1%)

Algorithm

1×	egg-herbie

Rules

128×	`fma-def`
52×	`associate--r+`
48×	`associate-+l-`
40×	`*-commutative`
40×	`+-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(-.f64 x (/.f64 y 200))

Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)

eval1.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune17.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

0.0b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 y -1/200 x)
▶	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(-.f64 x (/.f64 y 200))
0.0ms	x	@	0	(-.f64 x (/.f64 y 200))
0.0ms	x	@	inf	(-.f64 x (/.f64 y 200))
0.0ms	y	@	0	(-.f64 x (/.f64 y 200))
0.0ms	y	@	-inf	(-.f64 x (/.f64 y 200))

rewrite54.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1700×	`*-un-lft-identity`
1608×	`add-cube-cbrt`
1594×	`add-cbrt-cube`
158×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	159	13
2	2107	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 x (/.f64 y 200))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (.f64 y -1/200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 -1/200 y (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (.f64 y -1/200) 1 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) (sqrt.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) (.f64 y -1/200))) (-.f64 x (.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y -1/200) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x (.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))) (neg.f64 (+.f64 x (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 x (.f64 y -1/200))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y -1/200))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y -1/200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 -1/200 y (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (*.f64 y -1/200) 1 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/200))) (pow.f64 (cbrt.f64 (*.f64 y 1/200)) 2) (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y 1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) (*.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -1/200) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x (*.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))) (neg.f64 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 y -1/200))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y -1/200))))))

simplify55.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1108×	`associate-*r/`
782×	`*-commutative`
734×	`associate-+r+`
718×	`fma-def`
576×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	886
1	286	816
2	1184	816
3	4272	816

Stop Event

1×	node limit

Counts

62 → 48

Calls

Call 1

Inputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 x (*.f64 y -1/200))
(+.f64 x (.f64 (.f64 y -1/200) 1))
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 -1/200 y (.f64 y 1/200)))
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (.f64 y -1/200) 1 (*.f64 y 1/200)))
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 y 1/200)))
(+.f64 (*.f64 y -1/200) x)
(.f64 (+.f64 x (.f64 y -1/200)) 1)
(.f64 1 (+.f64 x (.f64 y -1/200)))
(.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200))))
(.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))
(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
(/.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) (.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y -1/200) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x (*.f64 y -1/200)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))) (neg.f64 (+.f64 x (.f64 y 1/200))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))
(pow.f64 (+.f64 x (*.f64 y -1/200)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 y -1/200)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200))))
(exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 y -1/200))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 1 x (*.f64 y -1/200))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y -1/200))

Outputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 x (*.f64 y -1/200))
(fma.f64 -1/200 y x)
(+.f64 x (.f64 (.f64 y -1/200) 1))
(fma.f64 -1/200 y x)
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 -1/200 y (.f64 y 1/200)))
(fma.f64 -1/200 y x)
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (.f64 y -1/200) 1 (*.f64 y 1/200)))
(fma.f64 -1/200 y x)
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))
(fma.f64 -1/200 y x)
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 y 1/200)))
(fma.f64 -1/200 y x)
(+.f64 (*.f64 y -1/200) x)
(fma.f64 -1/200 y x)
(.f64 (+.f64 x (.f64 y -1/200)) 1)
(fma.f64 -1/200 y x)
(.f64 1 (+.f64 x (.f64 y -1/200)))
(fma.f64 -1/200 y x)
(.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2))
(fma.f64 -1/200 y x)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))
(fma.f64 -1/200 y x)
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))
(.f64 (+.f64 (sqrt.f64 (.f64 y 1/200)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))
(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
(fma.f64 -1/200 y x)
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))))
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
(fma.f64 -1/200 y x)
(/.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))))
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) (.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))
(fma.f64 -1/200 y x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y -1/200) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x (*.f64 y -1/200)))))
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))) (neg.f64 (+.f64 x (.f64 y 1/200))))
(fma.f64 -1/200 y x)
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(pow.f64 (+.f64 x (*.f64 y -1/200)) 1)
(fma.f64 -1/200 y x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)
(fma.f64 -1/200 y x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)
(fma.f64 -1/200 y x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)
(fma.f64 -1/200 y x)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))
(fma.f64 -1/200 y x)
(log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 y -1/200)))))
(fma.f64 -1/200 y x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))
(fma.f64 -1/200 y x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 y -1/200))) 1))
(fma.f64 -1/200 y x)
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(fma.f64 1 x (*.f64 y -1/200))
(fma.f64 -1/200 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
(fma.f64 -1/200 y x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y -1/200))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 -1/200 y))
(fma.f64 -1/200 y (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y -1/200 x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(fma.f64 y -1/200 x)
0.0ms	y	@	-inf	(fma.f64 y -1/200 x)
0.0ms	y	@	0	(fma.f64 y -1/200 x)
0.0ms	x	@	-inf	(fma.f64 y -1/200 x)
0.0ms	y	@	inf	(fma.f64 y -1/200 x)

rewrite76.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`add-sqr-sqrt`
1114×	`*-un-lft-identity`
1062×	`pow1`
1038×	`add-cube-cbrt`
1028×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	121	9
2	1365	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 y -1/200 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y -1/200) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -1/200 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y -1/200 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y -1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2) (cbrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x x)) (-.f64 (.f64 y -1/200) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y -1/200) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (-.f64 (.f64 x x) (.f64 (*.f64 y -1/200) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -1/200 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/200 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -1/200 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -1/200 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -1/200 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -1/200) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -1/200 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -1/200 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2) (cbrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x x)) (-.f64 (*.f64 y -1/200) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y -1/200) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -1/200 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/200 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -1/200 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -1/200 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -1/200 x)))))))

simplify58.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1114×	`fma-def`
1042×	`associate-r`
850×	`associate-l`
788×	`associate-/r/`
782×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	433
1	147	425
2	639	425
3	3205	421
4	7144	421

Stop Event

1×	node limit

Counts

45 → 29

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 x (*.f64 y -1/200))
(+.f64 (*.f64 y -1/200) x)
(+.f64 (.f64 (.f64 y -1/200) 1) x)
(-.f64 (+.f64 1 (fma.f64 y -1/200 x)) 1)
(*.f64 (fma.f64 y -1/200 x) 1)
(*.f64 1 (fma.f64 y -1/200 x))
(*.f64 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (fma.f64 y -1/200 x)))
(*.f64 (cbrt.f64 (fma.f64 y -1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2) (cbrt.f64 (fma.f64 y -1/200 x)))
(/.f64 (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x x)) (-.f64 (*.f64 y -1/200) x))
(/.f64 (+.f64 (pow.f64 (.f64 y -1/200) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (-.f64 (.f64 x x) (.f64 (*.f64 y -1/200) x))))
(pow.f64 (fma.f64 y -1/200 x) 1)
(pow.f64 (sqrt.f64 (fma.f64 y -1/200 x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y -1/200 x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y -1/200 x) 2))
(log.f64 (exp.f64 (fma.f64 y -1/200 x)))
(cbrt.f64 (pow.f64 (fma.f64 y -1/200 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y -1/200 x)))
(exp.f64 (log.f64 (fma.f64 y -1/200 x)))
(log1p.f64 (expm1.f64 (fma.f64 y -1/200 x)))

Outputs
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 x (*.f64 y -1/200))
(fma.f64 -1/200 y x)
(+.f64 (*.f64 y -1/200) x)
(fma.f64 -1/200 y x)
(+.f64 (.f64 (.f64 y -1/200) 1) x)
(fma.f64 -1/200 y x)
(-.f64 (+.f64 1 (fma.f64 y -1/200 x)) 1)
(fma.f64 -1/200 y x)
(*.f64 (fma.f64 y -1/200 x) 1)
(fma.f64 -1/200 y x)
(*.f64 1 (fma.f64 y -1/200 x))
(fma.f64 -1/200 y x)
(*.f64 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)
(*.f64 (cbrt.f64 (fma.f64 y -1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2))
(fma.f64 -1/200 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2) (cbrt.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)
(/.f64 (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x x)) (-.f64 (*.f64 y -1/200) x))
(fma.f64 -1/200 y x)
(/.f64 (+.f64 (pow.f64 (.f64 y -1/200) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (-.f64 (.f64 x x) (.f64 (*.f64 y -1/200) x))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/200 y) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y y) 1/40000) (.f64 x (-.f64 x (*.f64 -1/200 y)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 1/40000 y))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y 1/40000))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(pow.f64 (fma.f64 y -1/200 x) 1)
(fma.f64 -1/200 y x)
(pow.f64 (sqrt.f64 (fma.f64 y -1/200 x)) 2)
(fma.f64 -1/200 y x)
(pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)
(fma.f64 -1/200 y x)
(pow.f64 (pow.f64 (fma.f64 y -1/200 x) 3) 1/3)
(fma.f64 -1/200 y x)
(sqrt.f64 (pow.f64 (fma.f64 y -1/200 x) 2))
(fma.f64 -1/200 y x)
(log.f64 (exp.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)
(cbrt.f64 (pow.f64 (fma.f64 y -1/200 x) 3))
(fma.f64 -1/200 y x)
(expm1.f64 (log1p.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)
(exp.f64 (log.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)
(log1p.f64 (expm1.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)

eval41.0ms (2%)

Compiler: Compiled 869 to 570 computations (34.4% saved)

prune15.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	74	5	79

Error

Counts

79 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))
▶	35.4b	(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))
▶	32.9b	(*.f64 -1/200 y)
	30.1b	x

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -1/200 y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(*.f64 -1/200 y)
0.0ms	y	@	-inf	(*.f64 -1/200 y)
0.0ms	y	@	0	(*.f64 -1/200 y)

rewrite87.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`associate-l`
904×	`add-sqr-sqrt`
884×	`*-un-lft-identity`
842×	`pow1`
828×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1112	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 -1/200 y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/200 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/200 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/200 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/40000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/200) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/200 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/200 y)))))))

simplify60.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

846×	`log-prod`
814×	`+-commutative`
770×	`associate-+r-`
696×	`fma-def`
670×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	143
1	83	77
2	260	77
3	1802	77
4	4058	77
5	6514	77

Stop Event

1×	node limit

Counts

11 → 13

Calls

Call 1

Inputs
(-.f64 (+.f64 (*.f64 -1/200 y) 1) 1)
(pow.f64 (*.f64 -1/200 y) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)
(pow.f64 (pow.f64 (*.f64 -1/200 y) 3) 1/3)
(sqrt.f64 (.f64 1/40000 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 -1/200) y))
(cbrt.f64 (pow.f64 (*.f64 -1/200 y) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/200 y)))
(exp.f64 (log.f64 (*.f64 -1/200 y)))
(log1p.f64 (expm1.f64 (*.f64 -1/200 y)))

Outputs
(-.f64 (+.f64 (*.f64 -1/200 y) 1) 1)
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(pow.f64 (*.f64 -1/200 y) 1)
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(pow.f64 (pow.f64 (*.f64 -1/200 y) 3) 1/3)
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(sqrt.f64 (.f64 1/40000 (.f64 y y)))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(log.f64 (pow.f64 (exp.f64 -1/200) y))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(cbrt.f64 (pow.f64 (*.f64 -1/200 y) 3))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(expm1.f64 (log1p.f64 (*.f64 -1/200 y)))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(exp.f64 (log.f64 (*.f64 -1/200 y)))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(log1p.f64 (expm1.f64 (*.f64 -1/200 y)))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)

localize26.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 y 1/200))
✓	0.1b	(*.f64 y -1/200)
✓	0.1b	(*.f64 y 1/200)
✓	27.2b	(fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (*.f64 y 1/200))

Compiler

Compiled 58 to 42 computations (27.6% saved)

series6.0ms (0.3%)

Counts

4 → 27

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (*.f64 y 1/200))
1.0ms	y	@	-inf	(fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (*.f64 y 1/200))
1.0ms	y	@	inf	(fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (*.f64 y 1/200))
1.0ms	y	@	inf	(sqrt.f64 (*.f64 y 1/200))
0.0ms	y	@	-inf	(sqrt.f64 (*.f64 y 1/200))

rewrite74.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`add-sqr-sqrt`
1778×	`*-un-lft-identity`
1658×	`add-cube-cbrt`
1644×	`add-cbrt-cube`
226×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	241	44
2	2833	44

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (*.f64 y 1/200))
(*.f64 y 1/200)
(*.f64 y -1/200)
(sqrt.f64 (*.f64 y 1/200))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y 1/200) (.f64 y 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y 1/200)) (+.f64 (sqrt.f64 (.f64 y 1/200)) (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 y 1/200) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) (sqrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) (cbrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 2)) (cbrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y 1/200) 3) (pow.f64 (.f64 y 1/200) 3)) (+.f64 (.f64 1/40000 (.f64 y y)) (-.f64 (.f64 1/40000 (.f64 y y)) (.f64 1/40000 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/40000 (.f64 y y)) (.f64 1/40000 (.f64 y y))) (-.f64 (.f64 y 1/200) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y 1/200))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y 1/200) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y 1/200)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y 1/200)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/40000 (.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y 1/200) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 y 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/40000 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y 1/200) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y 1/200)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 1/200)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y 1/200))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y 1/200) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y 1/200)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y 1/200)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/40000 (.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y 1/200) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 y 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/40000 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y 1/200) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y 1/200)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 1/200)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sqrt.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 y 1/200)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y 1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y 1/200)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -1/200) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y 1/200) 1/4) (pow.f64 (.f64 y 1/200) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y 1/200) 1/4) (neg.f64 (pow.f64 (.f64 y 1/200) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (sqrt.f64 -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (sqrt.f64 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/200) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 y 1/200))) (cbrt.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y 1/200)) (cbrt.f64 (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y 1/200)) (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (sqrt.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2)) (sqrt.f64 (cbrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (pow.f64 (.f64 y 1/200) 1/4)) (pow.f64 (.f64 y 1/200) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (sqrt.f64 y)) (sqrt.f64 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (cbrt.f64 (.f64 y 1/200))) (cbrt.f64 (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (.f64 y 1/200) 1/4)) (pow.f64 (.f64 y 1/200) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (cbrt.f64 (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (.f64 y 1/200)) (sqrt.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (.f64 y 1/200) 3/2)) (+.f64 0 (+.f64 (.f64 y 1/200) (.f64 0 (sqrt.f64 (.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y 1/200) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y 1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y 1/200) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y 1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y 1/200) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sqrt.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y 1/200) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y 1/200)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y 1/200))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y 1/200))))))))

simplify39.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

226×	`associate-r`
180×	`associate-l`
176×	`times-frac`
112×	`unswap-sqr`
94×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	910
1	356	910
2	2225	910

Stop Event

1×

unsound

Counts

122 → 82

Calls

Call 1

Inputs
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(+.f64 (.f64 y 1/200) (.f64 y 1/200))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)))) 1)
(.f64 (sqrt.f64 (.f64 y 1/200)) (+.f64 (sqrt.f64 (.f64 y 1/200)) (sqrt.f64 (.f64 y 1/200))))
(.f64 (+.f64 (.f64 y 1/200) (*.f64 y 1/200)) 1)
(.f64 1 (+.f64 (.f64 y 1/200) (*.f64 y 1/200)))
(.f64 (sqrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) (sqrt.f64 (+.f64 (.f64 y 1/200) (*.f64 y 1/200))))
(.f64 (cbrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) (cbrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (*.f64 y 1/200)) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 2)) (cbrt.f64 (+.f64 (.f64 y 1/200) (*.f64 y 1/200))))
(/.f64 (+.f64 (pow.f64 (.f64 y 1/200) 3) (pow.f64 (.f64 y 1/200) 3)) (+.f64 (.f64 1/40000 (.f64 y y)) (-.f64 (.f64 1/40000 (.f64 y y)) (.f64 1/40000 (.f64 y y)))))
(/.f64 (-.f64 (.f64 1/40000 (.f64 y y)) (.f64 1/40000 (.f64 y y))) (-.f64 (.f64 y 1/200) (.f64 y 1/200)))
(pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 1)
(pow.f64 (sqrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) 2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 2))
(log.f64 (exp.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))
(exp.f64 (log.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 y 1/200) (*.f64 y 1/200))) 1))
(log1p.f64 (expm1.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 1/200))) 1)
(pow.f64 (*.f64 y 1/200) 1)
(pow.f64 (sqrt.f64 (*.f64 y 1/200)) 2)
(pow.f64 (cbrt.f64 (*.f64 y 1/200)) 3)
(pow.f64 (.f64 1/40000 (.f64 y y)) 1/2)
(pow.f64 (pow.f64 (*.f64 y 1/200) 3) 1/3)
(neg.f64 (*.f64 y 1/200))
(sqrt.f64 (.f64 1/40000 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 y) 1/200))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/200))))
(cbrt.f64 (pow.f64 (*.f64 y 1/200) 3))
(expm1.f64 (log1p.f64 (*.f64 y 1/200)))
(exp.f64 (log.f64 (*.f64 y 1/200)))
(exp.f64 (.f64 (log.f64 (.f64 y 1/200)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 1/200)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 1/200))) 1)
(pow.f64 (*.f64 y 1/200) 1)
(pow.f64 (sqrt.f64 (*.f64 y 1/200)) 2)
(pow.f64 (cbrt.f64 (*.f64 y 1/200)) 3)
(pow.f64 (.f64 1/40000 (.f64 y y)) 1/2)
(pow.f64 (pow.f64 (*.f64 y 1/200) 3) 1/3)
(neg.f64 (*.f64 y 1/200))
(sqrt.f64 (.f64 1/40000 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 y) 1/200))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/200))))
(cbrt.f64 (pow.f64 (*.f64 y 1/200) 3))
(expm1.f64 (log1p.f64 (*.f64 y 1/200)))
(exp.f64 (log.f64 (*.f64 y 1/200)))
(exp.f64 (.f64 (log.f64 (.f64 y 1/200)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 1/200)))
(+.f64 0 (sqrt.f64 (*.f64 y 1/200)))
(-.f64 0 (sqrt.f64 (*.f64 y 1/200)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y 1/200)))) 1)
(.f64 (sqrt.f64 (.f64 y 1/200)) 1)
(.f64 (sqrt.f64 (.f64 y 1/200)) -1)
(.f64 1 (sqrt.f64 (.f64 y 1/200)))
(*.f64 (sqrt.f64 -1/200) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 y 1/200) 1/4) (pow.f64 (*.f64 y 1/200) 1/4))
(.f64 (pow.f64 (.f64 y 1/200) 1/4) (neg.f64 (pow.f64 (*.f64 y 1/200) 1/4)))
(*.f64 (sqrt.f64 y) (sqrt.f64 -1/200))
(*.f64 (sqrt.f64 y) (sqrt.f64 1/200))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 1/200)))
(*.f64 (sqrt.f64 1/200) (sqrt.f64 y))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y 1/200))) (cbrt.f64 (*.f64 y 1/200)))
(.f64 (cbrt.f64 (.f64 y 1/200)) (cbrt.f64 (sqrt.f64 (*.f64 y 1/200))))
(.f64 (cbrt.f64 (.f64 y 1/200)) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 1/200)))))
(.f64 -1 (sqrt.f64 (.f64 y 1/200)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y 1/200))))
(.f64 (.f64 -1 (pow.f64 (.f64 y 1/200) 1/4)) (pow.f64 (.f64 y 1/200) 1/4))
(.f64 (.f64 -1 (sqrt.f64 y)) (sqrt.f64 1/200))
(.f64 (.f64 -1 (cbrt.f64 (.f64 y 1/200))) (cbrt.f64 (sqrt.f64 (.f64 y 1/200))))
(.f64 (neg.f64 (pow.f64 (.f64 y 1/200) 1/4)) (pow.f64 (*.f64 y 1/200) 1/4))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 1/200))
(.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (cbrt.f64 (sqrt.f64 (*.f64 y 1/200))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 y 1/200)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y 1/200)) 1/2))
(/.f64 (-.f64 0 (.f64 y 1/200)) (sqrt.f64 (.f64 y 1/200)))
(/.f64 (-.f64 0 (pow.f64 (.f64 y 1/200) 3/2)) (+.f64 0 (+.f64 (.f64 y 1/200) (.f64 0 (sqrt.f64 (.f64 y 1/200))))))
(pow.f64 (*.f64 y 1/200) 1/2)
(pow.f64 (sqrt.f64 (*.f64 y 1/200)) 1)
(pow.f64 (pow.f64 (*.f64 y 1/200) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 1/200))) 3)
(pow.f64 (pow.f64 (*.f64 y 1/200) 3/2) 1/3)
(neg.f64 (sqrt.f64 (*.f64 y 1/200)))
(fabs.f64 (sqrt.f64 (*.f64 y 1/200)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y 1/200))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y 1/200)))))
(cbrt.f64 (pow.f64 (*.f64 y 1/200) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y 1/200))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y 1/200))))
(exp.f64 (.f64 (log.f64 (.f64 y 1/200)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y 1/200))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y 1/200))))

Outputs
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(*.f64 -1/200 y)
(*.f64 1/200 y)
(+.f64 (.f64 y 1/200) (.f64 y 1/200))
(*.f64 1/200 y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)))) 1)
(*.f64 1/200 y)
(.f64 (sqrt.f64 (.f64 y 1/200)) (+.f64 (sqrt.f64 (.f64 y 1/200)) (sqrt.f64 (.f64 y 1/200))))
(*.f64 1/200 y)
(.f64 (+.f64 (.f64 y 1/200) (*.f64 y 1/200)) 1)
(*.f64 1/200 y)
(.f64 1 (+.f64 (.f64 y 1/200) (*.f64 y 1/200)))
(*.f64 1/200 y)
(.f64 (sqrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) (sqrt.f64 (+.f64 (.f64 y 1/200) (*.f64 y 1/200))))
(*.f64 1/200 y)
(.f64 (cbrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) (cbrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (*.f64 y 1/200)) 2)))
(*.f64 1/200 y)
(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 2)) (cbrt.f64 (+.f64 (.f64 y 1/200) (*.f64 y 1/200))))
(*.f64 1/200 y)
(/.f64 (+.f64 (pow.f64 (.f64 y 1/200) 3) (pow.f64 (.f64 y 1/200) 3)) (+.f64 (.f64 1/40000 (.f64 y y)) (-.f64 (.f64 1/40000 (.f64 y y)) (.f64 1/40000 (.f64 y y)))))
(*.f64 1/200 y)
(/.f64 (-.f64 (.f64 1/40000 (.f64 y y)) (.f64 1/40000 (.f64 y y))) (-.f64 (.f64 y 1/200) (.f64 y 1/200)))
(*.f64 1/200 y)
(pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 1)
(*.f64 1/200 y)
(pow.f64 (sqrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) 2)
(*.f64 1/200 y)
(pow.f64 (cbrt.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))) 3)
(*.f64 1/200 y)
(pow.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 3) 1/3)
(*.f64 1/200 y)
(sqrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 2))
(*.f64 1/200 y)
(log.f64 (exp.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))
(*.f64 1/200 y)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)))))
(*.f64 1/200 y)
(cbrt.f64 (pow.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200)) 3))
(*.f64 1/200 y)
(expm1.f64 (log1p.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))
(*.f64 1/200 y)
(exp.f64 (log.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))
(*.f64 1/200 y)
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 y 1/200) (*.f64 y 1/200))) 1))
(*.f64 1/200 y)
(log1p.f64 (expm1.f64 (+.f64 (.f64 y 1/200) (.f64 y 1/200))))
(*.f64 1/200 y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 1/200))) 1)
(*.f64 1/200 y)
(pow.f64 (*.f64 y 1/200) 1)
(*.f64 1/200 y)
(pow.f64 (sqrt.f64 (*.f64 y 1/200)) 2)
(*.f64 1/200 y)
(pow.f64 (cbrt.f64 (*.f64 y 1/200)) 3)
(*.f64 1/200 y)
(pow.f64 (.f64 1/40000 (.f64 y y)) 1/2)
(*.f64 1/200 y)
(pow.f64 (pow.f64 (*.f64 y 1/200) 3) 1/3)
(*.f64 1/200 y)
(neg.f64 (*.f64 y 1/200))
(*.f64 1/200 y)
(sqrt.f64 (.f64 1/40000 (.f64 y y)))
(*.f64 1/200 y)
(log.f64 (pow.f64 (exp.f64 y) 1/200))
(*.f64 1/200 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/200))))
(*.f64 1/200 y)
(cbrt.f64 (pow.f64 (*.f64 y 1/200) 3))
(*.f64 1/200 y)
(expm1.f64 (log1p.f64 (*.f64 y 1/200)))
(*.f64 1/200 y)
(exp.f64 (log.f64 (*.f64 y 1/200)))
(*.f64 1/200 y)
(exp.f64 (.f64 (log.f64 (.f64 y 1/200)) 1))
(*.f64 1/200 y)
(log1p.f64 (expm1.f64 (*.f64 y 1/200)))
(*.f64 1/200 y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 1/200))) 1)
(*.f64 1/200 y)
(pow.f64 (*.f64 y 1/200) 1)
(*.f64 1/200 y)
(pow.f64 (sqrt.f64 (*.f64 y 1/200)) 2)
(*.f64 1/200 y)
(pow.f64 (cbrt.f64 (*.f64 y 1/200)) 3)
(*.f64 1/200 y)
(pow.f64 (.f64 1/40000 (.f64 y y)) 1/2)
(*.f64 1/200 y)
(pow.f64 (pow.f64 (*.f64 y 1/200) 3) 1/3)
(*.f64 1/200 y)
(neg.f64 (*.f64 y 1/200))
(*.f64 1/200 y)
(sqrt.f64 (.f64 1/40000 (.f64 y y)))
(*.f64 1/200 y)
(log.f64 (pow.f64 (exp.f64 y) 1/200))
(*.f64 1/200 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/200))))
(*.f64 1/200 y)
(cbrt.f64 (pow.f64 (*.f64 y 1/200) 3))
(*.f64 1/200 y)
(expm1.f64 (log1p.f64 (*.f64 y 1/200)))
(*.f64 1/200 y)
(exp.f64 (log.f64 (*.f64 y 1/200)))
(*.f64 1/200 y)
(exp.f64 (.f64 (log.f64 (.f64 y 1/200)) 1))
(*.f64 1/200 y)
(log1p.f64 (expm1.f64 (*.f64 y 1/200)))
(*.f64 1/200 y)
(+.f64 0 (sqrt.f64 (*.f64 y 1/200)))
(*.f64 1/200 y)
(-.f64 0 (sqrt.f64 (*.f64 y 1/200)))
(*.f64 1/200 y)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y 1/200)))) 1)
(*.f64 1/200 y)
(.f64 (sqrt.f64 (.f64 y 1/200)) 1)
(*.f64 1/200 y)
(.f64 (sqrt.f64 (.f64 y 1/200)) -1)
(*.f64 1/200 y)
(.f64 1 (sqrt.f64 (.f64 y 1/200)))
(*.f64 1/200 y)
(*.f64 (sqrt.f64 -1/200) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 y 1/200) 1/4) (pow.f64 (*.f64 y 1/200) 1/4))
(*.f64 1/200 y)
(.f64 (pow.f64 (.f64 y 1/200) 1/4) (neg.f64 (pow.f64 (*.f64 y 1/200) 1/4)))
(*.f64 1/200 y)
(*.f64 (sqrt.f64 y) (sqrt.f64 -1/200))
(*.f64 (sqrt.f64 -1/200) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 1/200))
(*.f64 (sqrt.f64 -1/200) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 1/200)))
(*.f64 (sqrt.f64 -1/200) (sqrt.f64 y))
(*.f64 (sqrt.f64 1/200) (sqrt.f64 y))
(*.f64 (sqrt.f64 -1/200) (sqrt.f64 y))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y 1/200))) (cbrt.f64 (*.f64 y 1/200)))
(*.f64 1/200 y)
(.f64 (cbrt.f64 (.f64 y 1/200)) (cbrt.f64 (sqrt.f64 (*.f64 y 1/200))))
(*.f64 1/200 y)
(.f64 (cbrt.f64 (.f64 y 1/200)) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 1/200)))))
(*.f64 1/200 y)
(.f64 -1 (sqrt.f64 (.f64 y 1/200)))
(*.f64 1/200 y)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y 1/200))))
(*.f64 1/200 y)
(.f64 (.f64 -1 (pow.f64 (.f64 y 1/200) 1/4)) (pow.f64 (.f64 y 1/200) 1/4))
(*.f64 1/200 y)
(.f64 (.f64 -1 (sqrt.f64 y)) (sqrt.f64 1/200))
(*.f64 (sqrt.f64 -1/200) (sqrt.f64 y))
(.f64 (.f64 -1 (cbrt.f64 (.f64 y 1/200))) (cbrt.f64 (sqrt.f64 (.f64 y 1/200))))
(*.f64 1/200 y)
(.f64 (neg.f64 (pow.f64 (.f64 y 1/200) 1/4)) (pow.f64 (*.f64 y 1/200) 1/4))
(*.f64 1/200 y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 1/200))
(*.f64 (sqrt.f64 -1/200) (sqrt.f64 y))
(.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (cbrt.f64 (sqrt.f64 (*.f64 y 1/200))))
(*.f64 1/200 y)
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 y 1/200)))
(*.f64 1/200 y)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y 1/200)) 1/2))
(*.f64 1/200 y)
(/.f64 (-.f64 0 (.f64 y 1/200)) (sqrt.f64 (.f64 y 1/200)))
(*.f64 1/200 y)
(/.f64 (-.f64 0 (pow.f64 (.f64 y 1/200) 3/2)) (+.f64 0 (+.f64 (.f64 y 1/200) (.f64 0 (sqrt.f64 (.f64 y 1/200))))))
(*.f64 1/200 y)
(pow.f64 (*.f64 y 1/200) 1/2)
(*.f64 1/200 y)
(pow.f64 (sqrt.f64 (*.f64 y 1/200)) 1)
(*.f64 1/200 y)
(pow.f64 (pow.f64 (*.f64 y 1/200) 1/4) 2)
(*.f64 1/200 y)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 1/200))) 3)
(*.f64 1/200 y)
(pow.f64 (pow.f64 (*.f64 y 1/200) 3/2) 1/3)
(*.f64 1/200 y)
(neg.f64 (sqrt.f64 (*.f64 y 1/200)))
(*.f64 1/200 y)
(fabs.f64 (sqrt.f64 (*.f64 y 1/200)))
(*.f64 1/200 y)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y 1/200))))
(*.f64 1/200 y)
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y 1/200)))))
(*.f64 1/200 y)
(cbrt.f64 (pow.f64 (*.f64 y 1/200) 3/2))
(*.f64 1/200 y)
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y 1/200))))
(*.f64 1/200 y)
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y 1/200))))
(*.f64 1/200 y)
(exp.f64 (.f64 (log.f64 (.f64 y 1/200)) 1/2))
(*.f64 1/200 y)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y 1/200))) 1))
(*.f64 1/200 y)
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y 1/200))))
(*.f64 1/200 y)

eval132.0ms (6.5%)

Compiler: Compiled 3470 to 2627 computations (24.3% saved)

prune26.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	168	5	173

Error

Counts

173 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	35.4b	(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))
✓	32.9b	(*.f64 -1/200 y)
	30.1b	x

Compiler

Compiled 42 to 31 computations (26.2% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	35.4b	(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))
✓	32.9b	(*.f64 -1/200 y)
	30.1b	x

Compiler

Compiled 42 to 31 computations (26.2% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	35.4b	(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))
✓	32.9b	(*.f64 -1/200 y)
	30.1b	x

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes20.0ms (1%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(*.f64 -1/200 y)
(-.f64 x (/.f64 y 200))
(fma.f64 y -1/200 x)
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))

Outputs
(-.f64 x (/.f64 y 200))

Calls

4 calls:

6.0ms	(-.f64 x (/.f64 y 200))
4.0ms	x
4.0ms	(/.f64 y 200)
4.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(-.f64 x (/.f64 y 200))`
0.0b	1	`(/.f64 y 200)`

Compiler

Compiled 52 to 36 computations (30.8% saved)

regimes58.0ms (2.8%)

Accuracy

Total -49.6b remaining (-406.1%)

Threshold costs -49.6b (-406.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 -1/200 y)

Outputs
x
(*.f64 -1/200 y)
x

Calls

2 calls:

45.0ms	y
12.0ms	x

Results

Error	Segments	Branch
12.2b	3	`x`
16.4b	5	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch49.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	2.913279868683182e-44	1.6617921590239005e-35
7.0ms	-7.009155857433212e+45	-2.1556433883934882e+45

Results

18.0ms

224×

body

256

valid

Compiler

Compiled 152 to 121 computations (20.4% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`sub-neg`
6×	`+-commutative`
6×	`*-commutative`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	27	41
2	34	41
3	38	41
4	41	41
5	42	41

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y 200))
(if (<=.f64 x -2200000000000000035613625888212622908353150976) x (if (<=.f64 x 2550072580000839/98079714615416886934934209737619787751599303819750539264) (*.f64 -1/200 y) x))
x

Outputs
(-.f64 x (/.f64 y 200))
(if (<=.f64 x -2200000000000000035613625888212622908353150976) x (if (<=.f64 x 2550072580000839/98079714615416886934934209737619787751599303819750539264) (*.f64 -1/200 y) x))
(if (<=.f64 x -2200000000000000035613625888212622908353150976) x (if (<=.f64 x 2550072580000839/98079714615416886934934209737619787751599303819750539264) (*.f64 y -1/200) x))
x

Compiler

Compiled 25 to 17 computations (32% saved)

soundness0.0ms (0%)

end20.0ms (1%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
0	2	2

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
0	2	2

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9

Details

analyze72.0ms (3.5%)

sample994.0ms (48.6%)

preprocess19.0ms (0.9%)

simplify21.0ms (1%)

eval1.0ms (0%)

prune17.0ms (0.8%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite54.0ms (2.6%)

simplify55.0ms (2.7%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite76.0ms (3.7%)

simplify58.0ms (2.8%)

eval41.0ms (2%)

prune15.0ms (0.7%)

localize3.0ms (0.1%)

series1.0ms (0.1%)

rewrite87.0ms (4.2%)

simplify60.0ms (2.9%)

localize26.0ms (1.3%)

series6.0ms (0.3%)

rewrite74.0ms (3.6%)

simplify39.0ms (1.9%)

eval132.0ms (6.5%)

prune26.0ms (1.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes20.0ms (1%)

regimes58.0ms (2.8%)

bsearch49.0ms (2.4%)

simplify6.0ms (0.3%)

soundness0.0ms (0%)

end20.0ms (1%)

Profiling

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
0	2	2

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9